Question

Please help.

3.
An airplane over the Pacific Ocean sights an atoll at an 13° angle of depression. If the plane is 648 m above the water, how many kilometers is it from a point 648 m directly above the atoll?

2.81 km

2806.8 km

149.6 km

1399.5 km

5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.



11501150 dollars per day; the costs $1 for 150 days

751751 dollars per day; the cost is $75 for each day.

251251 dollars per day; the cost is $25 for each day.

125125 dollars per day; the cost is $25 for each day.

6.
Write an equation for each translation of y = |x|.

6 units down

y = |-6x|

y = |x| + 6

y = |x| - 6

y - 6 = |x|

8.
Simplify the expression. Write the answer using scientific notation.

(9x102)(2x1010)(9x102)(2x1010)

1.8x10131.8x1013

1.1x10131.1x1013

1.8x10211.8x1021

1.1x10211.1x1021


10.
Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = - 2

y - 9 = -2(x - 10)

y + 9 = -2(x - 10)

y - 9 = -2(x + 10)

y - 10 = -2(x + 9)

Answer 1

3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m

6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6

10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)